Question

If the wages of 15 labourer 6days are rs7200 find the wages of 23 labourer for 5 days

Answer 1

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Given:-

• Wages of 15 labourers for 6 days is ₹7200

To find :-

• Wages of 23 labourers for 5 days

Solution :-

The question in the very first bit, gives us the idea of wages that 15 labourers together get in 6 days.

Now, to move on with the solution, we should first find out the amount that a single (1) labour gets after working for 6 days.

Amount for a single labour for 6 days = $\bf\large\frac{Total\:wages\:of\:15\:labours}{Total\:number\:of\:labourers}$

$\bf\implies$ $\bf\large\frac{7200}{15}$

$\bf\implies$ 480

Amount for a single labour for 6 days = ₹480

Now, we got the wage of a single labour for 6 days, we shall now calculate the wage of a single labour for a single day.

For this, simply we will divide amount of single labour for 6 days ₹480, by number of days!

Salary of single labour for a single day, = $\bf\large\frac{480}{6}$

$\bf\implies$ 80

Amount of a single labour for a single day is ₹ 80

Now, let's finally move on to the main bit of the question.

Salary of 23 labourers for 5 days. So here too we have to find the salary of 23 labourers for a single day.

Salary of 23 labourers for a single day = $\bf\large\frac{(Total\:wage\:of\:15\:labourers\:for\:6\:days)(number \:labourers \:) }{total\:number\:of\:working\:days}$

$\bf\implies[\tex] [tex]\bf\large\frac{(7200)(23)}{6}$

$\bf\implies$ $\bf\large\frac{165600}{6}$

$\bf\implies$ 27600

Salary of 23 labourers for a single day = ₹27600

Now, multiply wage of 23 labourers by 5 to get the wage of 23 labourers for 5 days.

wage of 23 labourers for 5 days = Wage of 23 labourers for a single day × 5

$\implies$ 138000

•°• Wage of 23 labourers for 5 days is ₹138000